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Finding the Fourth Proportional to 43,054.52, 64,521.63 and 20,862

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Solution

The fourth proportional to 43,054.52, 64,521.63 and 20,862 is: 31,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,054.52 : 64,521.63 = 20,862 : x
  2. Step 2: Convert to fraction form
    43,054.52/64,521.63 = 20,862/x
  3. Step 3: Cross multiply
    43,054.52x = 64,521.63 × 20,862
  4. Step 4: Simplify right side
    43,054.52x = 1,346,050,245.06
  5. Step 5: Solve for x
    x = 1,346,050,245.06/43,054.52
  6. Step 6: Final answer
    x = 31,263.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.